Details

sample1.2m (64.9%)

Algorithm
21×intervals
Results
40.7s38962×body10240exit
7.5s7388×body1280valid
5.8s3515×body2560valid
4.4s56541×body80valid
3.8s50669×body80nan
2.3s4631×body640valid
1.8s3080×body1280nan
834.0ms2552×body640nan
659.0ms2289×body320valid
275.0ms1324×body320nan
240.0ms1205×body160valid
155.0ms8356×pre80true
96.0ms670×body160nan
46.0ms29×body5120valid
25.0ms11×body5120nan
19.0ms27×body2560nan

series27.9s (24.6%)

Calls

77 calls:

4.8s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.7s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))
4.6s
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*))))))
1.3s
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))

prune5.4s (4.8%)

simplify3.4s (3.0%)

Algorithm
45×egg-herbie

regimes1.6s (1.4%)

Accuracy

Total 9.8b remaining (4.4%)

Threshold costs 0.4b (0.2%)

7.6b16.3%Toniolo and Linder, Equation (13)
1.8b0%Random Jason Timeout Test 006
0.4b0%Random Jason Timeout Test 012
0.0b0%Random Jason Timeout Test 004
0.0b0%Random Jason Timeout Test 002

rewrite801.0ms (0.7%)

Algorithm
27×rewrite-expression-head
Calls

77 calls:

92.0ms
(* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))
66.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* (* n (pow (/ l Om) (/ 2.0 2))) (pow (/ l Om) (/ 2.0 2))) (- U U*))))
63.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) (/ 2.0 2))) (* (pow (/ l Om) (/ 2.0 2)) (- U U*)))))
51.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
51.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ l (/ Om l)))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
Rules
328×add-sqr-sqrt
289×add-exp-log
239×*-un-lft-identity
203×add-cube-cbrt
196×pow1
155×add-cbrt-cube
142×associate-*r*
131×prod-exp
104×cbrt-prod
96×associate-*r/
90×unpow-prod-down
81×add-log-exp
68×times-frac
61×associate-*l*
57×pow-prod-down
48×flip-- flip3-- cbrt-unprod
44×unswap-sqr
38×pow-exp
32×frac-sub
28×sqrt-prod
26×sub-neg
24×distribute-rgt-in distribute-lft-in sqrt-div sqrt-pow1
21×pow1/3 pow-unpow pow-to-exp log-prod
20×sqr-pow
18×*-commutative difference-of-squares distribute-lft-out-- div-exp
17×log-pow
16×cube-prod associate--l+
12×swap-sqr pow1/2
10×exp-prod
rem-sqrt-square associate-/r*
associate-/l* div-inv
rem-log-exp
cube-mult unpow3 pow-prod-up pow-sqr
cbrt-undiv unpow-prod-up exp-sum
diff-log associate-/l/ sinh-def pow-pow pow-plus e-exp-1 acos-asin associate-/r/ clear-num frac-2neg pow2
div-sub rem-exp-log pow3 rem-cbrt-cube

localize378.0ms (0.3%)

bsearch340.0ms (0.3%)

end0.0ms (0.0%)